Finding the Third Proportional to 25,984 and 33,778

Step by Step Solution

1. Step 1: Write the proportion equation
   25,984 : 33,778 = 33,778 : x
2. Step 2: Convert to fraction form
   25,984/33,778 = 33,778/x
3. Step 3: Cross multiply
   25,984x = 33,778 × 33,778
4. Step 4: Simplify right side
   25,984x = 1,140,953,284
5. Step 5: Solve for x
   x = 1,140,953,284/25,984
6. Step 6: Final answer
   x = 43,909.84